Advertisements
Advertisements
Question
Expand the following, using suitable identity:
(–2x + 5y – 3z)2
Advertisements
Solution
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
(–2x + 5y – 3z)2 = (–2x)2 + (5y)2 + (–3z)2 + 2(–2x)(5y) + 2(5y)(–3z) + 2(–3z)(–2x)
= 4x2 + 25y2 + 9z2 – 20xy – 30yz + 12xz
APPEARS IN
RELATED QUESTIONS
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
Factorise the following:
27 – 125a3 – 135a + 225a2
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Factorise the following:
27y3 + 125z3
Evaluate the following using identities:
`(2x+ 1/x)^2`
Write in the expand form: `(2x - y + z)^2`
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
Find the following product:
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{7} + \frac{y}{3} \right) \left( \frac{x^2}{49} + \frac{y^2}{9} - \frac{xy}{21} \right)\]
Find the following product:
(4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx)
Find the square of 2a + b.
Find the square of : 3a + 7b
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Expand the following:
(a + 3b)2
Find the squares of the following:
3p - 4q2
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
Simplify:
(1 + x)(1 - x)(1 - x + x2)(1 + x + x2)
If a + b + c = 0, then a3 + b3 + c3 is equal to ______.
